This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/**
* Author: Anil Byar
**/
#include <bits/stdc++.h>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
using namespace std;
// template<class T>
// using ordered_set = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)(x).size()
#define ft first
#define sd second
#define pb push_back
// Source: https://codeforces.com/blog/entry/68809
// { start
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '"' << x << '"';}
void __print(const string &x) {cerr << '"' << x << '"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
// } end
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii> vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef vector<vi> vvi;
typedef vector<vii> vvii;
typedef vector<vl> vvl;
#define dbg if(0)
const ll MOD = 1e9+7;
const ll MOD9 = 998244353;
const ll INFLL = 1e18+5;
const int INF = 1e9;
const int maxN = 5e5+5;
const int maxK = 22;
void printbit(int x, int len) {string s="\n";while(len--){s=((x%2)?'1':'0')+s;x/=2;} cout<<s;}
ll gcd(ll a, ll b) {if (b > a) {return gcd(b, a);} if (b == 0) {return a;} return gcd(b, a % b);}
ll expo(ll a, ll b, ll mod) {ll res = 1; while (b > 0) {if (b & 1)res = (res * a) % mod; a = (a * a) % mod; b = b >> 1;} return res;}
void extendgcd(ll a, ll b, ll*v) {if (b == 0) {v[0] = 1; v[1] = 10; v[2] = a; return ;} extendgcd(b, a % b, v); ll x = v[1]; v[1] = v[0] - v[1] * (a / b); v[0] = x; return;} //pass an arry of size1 3
ll mod_add(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a + b) % m) + m) % m;}
ll mod_mul(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a * b) % m) + m) % m;}
ll mod_sub(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a - b) % m) + m) % m;}
ll mminv(ll a, ll b) {ll arr[3]; extendgcd(a, b, arr); return mod_add(arr[0], 0, b);} //for non prime b
template<class T>
istream& operator>>(istream&in, vector<T>&v){
for (T& x:v) in>>x;
return in;
}
template<class T>
ostream& operator<<(ostream&out, vector<T>&v){
for (T& x:v) out<<x<<' ';
cout<<'\n';
return out;
}
int n, m;
ll ans;
vector<vector<pii>> adj;
vl dist[maxN];
bool used[maxN];
int st[maxN], en[maxN];
int tim;
vii tour;
std::vector<int> parent, stree;
vector<ll> nearest;
void DOO(std::vector<std::vector<pii>>& _adj){
parent.resize((int)_adj.size());
stree.resize((int)_adj.size());
nearest.assign((int)_adj.size(), INFLL);
}
int dfssize(int, int);
int dfscentroid(int, int, int);
void dfs(int node, ll d, int p){
dist[node].push_back(d);
for (pii x:adj[node]){
if (x.ft!=p && !used[x.ft]){
dfs(x.ft, d+x.sd, node);
}
}
}
void build(int node = 1, int par = -1, ll depcent = 1){
int n = dfssize(node, par);
int centroid = dfscentroid(node, par, n);
parent[centroid] = par;
used[centroid] = true;
dfs(centroid, 0, par);
for (const pii &y:adj[centroid]) {
int x = y.ft;
if (x!=par && !used[x]) build(x, centroid, depcent+1);
}
}
int dfssize(int node, int par){
stree[node] = 1;
for (const pii &y:adj[node]){
int x = y.ft;
if (x!=par && !used[x]) {
dfssize(x, node);
stree[node] += stree[x];
}
}
return stree[node];
}
int dfscentroid(int node, int par, int n){
for (const pii &y:adj[node]){
int x = y.ft;
if (x!=par && !used[x] && stree[x]>n/2) return dfscentroid(x, node, n);
}
return node;
}
void color(int node){
nearest[node] = 0;
int temp = node;
int up = 1;
while(parent[node]!=-1){
node = parent[node];
nearest[node] = min(nearest[node], dist[temp][up++]);
}
}
void decolor(int node){
nearest[node] = INFLL;
while(parent[node]!=-1){
node = parent[node];
if (nearest[node]==INFLL) break;
nearest[node] = INFLL;
}
}
ll getnearest(int node){
ll ret = nearest[node];
int temp = node;
int up = 1;
while(parent[node]!=-1){
node = parent[node];
ret = min(ret, dist[temp][up++] + nearest[node]);
}
return ret;
}
void Init(int N, int A[], int B[], int D[]){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
n = N;
adj.resize(n);
for (int i = 0;i<n-1;i++){
int u = A[i], v = B[i], w = D[i];
adj[u].pb({v, w});
adj[v].pb({u, w});
}
DOO(adj);
build(0, -1);
for (int i = 0;i<n;i++) {
reverse(all(dist[i]));
}
}
long long Query(int S, int X[], int T, int Y[]){
ll res = INFLL;
for (int i = 0;i<S;i++) color(X[i]);
for (int i = 0;i<T;i++) res = min(res, getnearest(Y[i]));
for (int i = 0;i<S;i++) decolor(X[i]);
return res;
}
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